Publication result detail

Solving a higher-order linear discrete systems

MENCÁKOVÁ, K.; DIBLÍK, J.

Original Title

Solving a higher-order linear discrete systems

English Title

Solving a higher-order linear discrete systems

Type

Paper in proceedings (conference paper)

Original Abstract

In this paper there is considered a linear discrete homogenous system of the order (m + 2): Delta(2)x(k) + B(2)x(k - m) = f(k), k is an element of N-0, where B is a constant n x n regular matrix, m is an element of N-0 and x: {-m, m + 1, ...} -> R-n, f: Z(0)(infinity) -> R-n. Two linearly independent solutions will be found as special matrix functions called delayed discrete cosine and delayed discrete sine. Formulas for solutions are gotten utilizing these matrix functions. An example illustrating results is given as well.

English abstract

In this paper there is considered a linear discrete homogenous system of the order (m + 2): Delta(2)x(k) + B(2)x(k - m) = f(k), k is an element of N-0, where B is a constant n x n regular matrix, m is an element of N-0 and x: {-m, m + 1, ...} -> R-n, f: Z(0)(infinity) -> R-n. Two linearly independent solutions will be found as special matrix functions called delayed discrete cosine and delayed discrete sine. Formulas for solutions are gotten utilizing these matrix functions. An example illustrating results is given as well.

Keywords

delayed discrete cosine, delayed discrete dine, discrete equation

Key words in English

delayed discrete cosine, delayed discrete dine, discrete equation

Authors

MENCÁKOVÁ, K.; DIBLÍK, J.

RIV year

2018

Released

18.12.2017

Publisher

Univerzita obrany, Brno

Location

Brno

ISBN

978-80-7582-026-6

Book

Mathematics, InformationTechnologies and Applied Sciences 2017

Pages from

77

Pages to

91

Pages count

15

URL

http://mitav.unob.cz/data/MITAV2017 Proceedings.pdf

BibTex

@inproceedings{BUT143791,
  author="Kristýna {Mencáková} and Josef {Diblík}",
  title="Solving a higher-order linear discrete systems",
  booktitle="Mathematics, InformationTechnologies and Applied Sciences 2017",
  year="2017",
  pages="77--91",
  publisher="Univerzita obrany, Brno",
  address="Brno",
  isbn="978-80-7582-026-6",
  url="http://mitav.unob.cz/data/MITAV2017 Proceedings.pdf"
}